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math.DG 1

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2026 1

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Band Width Estimates and Rigidity of Manifolds with Negative Curvature

math.DG · 2026-06-23 · unverdicted · novelty 6.0

Establishes new Lipschitz and width lower bounds plus rigidity theorems for bands in 3-manifolds with negative Ricci bounds via μ-bubbles, including a sharp boundary-area estimate for certain noncompact manifolds with scalar curvature ≥ −6.

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  • Band Width Estimates and Rigidity of Manifolds with Negative Curvature math.DG · 2026-06-23 · unverdicted · none · ref 1

    Establishes new Lipschitz and width lower bounds plus rigidity theorems for bands in 3-manifolds with negative Ricci bounds via μ-bubbles, including a sharp boundary-area estimate for certain noncompact manifolds with scalar curvature ≥ −6.